(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Show that X is Hausdorff if and only if the diagonal [tex]\Delta = \{x \times x | x \in X \}[/tex] is closed in [tex]X \times X[/tex].

2. Relevant equations

Definition of Hausdorff Space (T2) : A topological space in which distinct points have disjoint neighborhoods.

3. The attempt at a solution

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# Hausdorff Space

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